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Worksheets9W3 Geometry Review
Total questions: 32
Worksheet time: 2hrs 36mins
Determine how to translate triangle ABC to triangle A'B'C'.
(x+9, y+2)
(x-2, y+9)
Point C (-5, 4)
Reflect over the x-axis.
What is C'?
(5, 4)
(-5, -4)
(5, -4)
(-5, 4)
Given K(9, –8), under which reflection is K′(9, 8)?
Reflection in the x axis
Reflection in the y axis
Reflection in the origin
Reflection in the line y=2
Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.
K' (-7, -8)
K' (8, -7)
K' (-8, 7)
K' (8, 7)
Point M(3, -1) is rotated counterclockwise 90° about the origin. What are the coordinates of M′?
M' (-3, -1)
M' (1, -3)
M' (-1, 3)
M' (1, 3)
Point B ( -6,1)
Reflected over the line y = -x?
(-1,-6)
(6,-1)
(1,6)
(-1,6)
Point D ( 12,-7)
Reflected over the line y = -x?
(7,-12)
(12,-7)
(7,12)
(-7,12)
Where would point J' be if you translated (x,y)---> (x-5, y+2)?
Find the scale factor (ratio) of ΔABC to ΔDEF. Make sure to simplify your ratio (fraction).
Solve the following proportion:
23=x−29
(a)
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SAS
SSS
Not Similar
Determine whether the triangles are similar. If similar, state how.
AA~
SSS~
SAS~
Not ~
Solve for the ?. Set up proportion, then cross multiply.
30
25
45
50
Find the length of the missing side using the Pythagorean Theorem.
Solve for x using the Pythagorean Theorem.
38.9
40.2
45.6
54
A 17 foot ladder leans against a wall 8 feet from the base of the wall. How high up the wall does the ladder touch? Round to the nearest tenth if needed.
A 13 foot ladder leans against a wall 5 feet from the base of the wall. How high up the wall does the ladder touch? Round to the nearest tenth if needed.
Find b.
16√3
16
8√3
8
Solve for the indicated side. Round your answer to the nearest tenth.
(a)
Casey sights the top of the lighthouse at an angle of elevation of 32°. If Casey’s line of sight is 324 feet to the top of the lighthouse, how far horizontally is Casey from the base of the lighthouse?
274.8
171.7
202.5
382.1
Casey sights the top of the lighthouse at an angle of elevation of 25°. If Casey’s line of sight is 295 feet to the top of the lighthouse, how far horizontally is Casey from the base of the lighthouse?
267.4
124.7
698.1
325.5
